Is 3,511,980 a Prime Number?
No, 3,511,980 is not a prime number
Number Properties
- Value:3,511,980
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101011001011010101100
- Hexadecimal:3596AC
Prime Status
3,511,980 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 5 × 109 × 179
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 109, 179, 180, 218, 327, 358, 436, 537, 545, 654, 716, 895, 981, 1074, 1090, 1308, 1611, 1635, 1790, 1962, 2148, 2180, 2685, 3222, 3270, 3580, 3924, 4905, 5370, 6444, 6540, 8055, 9810, 10740, 16110, 19511, 19620, 32220, 39022, 58533, 78044, 97555, 117066, 175599, 195110, 234132, 292665, 351198, 390220, 585330, 702396, 877995, 1170660, 1755990, 3511980
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.